Multi-modal control of systems with constraints
T. John Koo, George J. Pappas, Shankar Sastry · Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228) · 2001
In multi-modal control paradigm, a set of controllers of satisfactory performance have already been designed and must be used. Each controller may be designed for a different set of outputs in order to meet the given performance objectives and system constraints. When such a collection of control modes is available, an important problem is to be able to accomplish a variety of high level tasks by appropriately switching between the low-level control modes. In this paper, we propose a framework for determining the sequence of control modes that will satisfy reachability tasks. Our framework exploits the structure of output tracking controllers in order to extract a finite graph where the mode switching problem can be efficiently solved, and then implement it using the continuous controllers. Our approach is illustrated on a robot manipulator example, where we determine the mode switching logic that achieves the given reachability task.